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Workload Balancing in Multi-Stage Production Processes

Tazari, Siamak ; Müller-Hannemann, Matthias ; Weihe, Karsten (2006)
Workload Balancing in Multi-Stage Production Processes.
5th International Workshop (WEA 2006). Cala Galdana, Menorca, Spain (24.05.2006-27.05.2006)
doi: 10.1007/11764298_5
Konferenzveröffentlichung, Bibliographie

Kurzbeschreibung (Abstract)

We consider a variant on the general workload balancing problem, which arises naturally in automated manufacturing and throughput optimization of assembly-lines. The problem is to distribute the tasks over compatible machines and phases of the process simultaneously. The total duration of all phases is to be minimized. We have proved that this variant is NP-hard (even for uniform task lengths), and we propose a novel algorithmic approach. Our approach includes an exact solver for the case of uniform task lengths, which is based on network-flow techniques and runs in polynomial time for a fixed number of phases (the number of phases is indeed very small in practice). To solve the general case with arbitrary real task lengths, we combine our solver for uniform task lengths with a shortest-path based multi-exchange local search.

We present results of an extensive computational study on real-world examples from printed circuit board manufacturing. This study demonstrates that our approach is very promising. The solution quality obtained by our approach is compared with lower bounds from an integer linear programming model. It turns out that our approach is faster than CPLEX by orders of magnitude, and the optimality gap is quite small.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2006
Autor(en): Tazari, Siamak ; Müller-Hannemann, Matthias ; Weihe, Karsten
Art des Eintrags: Bibliographie
Titel: Workload Balancing in Multi-Stage Production Processes
Sprache: Deutsch
Publikationsjahr: 2006
Ort: Berlin
Verlag: Springer
Buchtitel: Experimental Algorithms: 5th International Workshop, WEA 2006, Cala Galdana, Menorca, Spain, May 24-27, 2006, Proceedings
Reihe: Lecture notes in computer science
Band einer Reihe: 4007
Veranstaltungstitel: 5th International Workshop (WEA 2006)
Veranstaltungsort: Cala Galdana, Menorca, Spain
Veranstaltungsdatum: 24.05.2006-27.05.2006
DOI: 10.1007/11764298_5
Kurzbeschreibung (Abstract):

We consider a variant on the general workload balancing problem, which arises naturally in automated manufacturing and throughput optimization of assembly-lines. The problem is to distribute the tasks over compatible machines and phases of the process simultaneously. The total duration of all phases is to be minimized. We have proved that this variant is NP-hard (even for uniform task lengths), and we propose a novel algorithmic approach. Our approach includes an exact solver for the case of uniform task lengths, which is based on network-flow techniques and runs in polynomial time for a fixed number of phases (the number of phases is indeed very small in practice). To solve the general case with arbitrary real task lengths, we combine our solver for uniform task lengths with a shortest-path based multi-exchange local search.

We present results of an extensive computational study on real-world examples from printed circuit board manufacturing. This study demonstrates that our approach is very promising. The solution quality obtained by our approach is compared with lower bounds from an integer linear programming model. It turns out that our approach is faster than CPLEX by orders of magnitude, and the optimality gap is quite small.

Fachbereich(e)/-gebiet(e): 20 Fachbereich Informatik
20 Fachbereich Informatik > Algorithmik
Hinterlegungsdatum: 20 Nov 2008 08:25
Letzte Änderung: 29 Nov 2024 09:48
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